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A002106
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Number of transitive permutation groups of degree n.
(Formerly M1316 N0504)
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16
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1, 1, 2, 5, 5, 16, 7, 50, 34, 45, 8, 301, 9, 63, 104, 1954, 10, 983, 8, 1117, 164, 59, 7, 25000, 211, 96, 2392, 1854, 8, 5712, 12, 2801324
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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REFERENCES
| G. Butler and J. McKay, The transitive groups of degree up to eleven, Comm. Algebra, 11 (1983), 863-911.
G. Butler and J. McKay, personal communication.
A. Hulpke, Konstruktion transitiver Permutationsgruppen, Dissertation, RWTH Aachen, 1996.
A. Hulpke, Constructing transitive permutation groups, J. Symbolic Comput. 39 (2005), 1-30.
G. A. Miller, On the lists of all the substitution groups that can be formed with a given number of elements, Bull. Amer. Math. Soc., 2 (1896), 138-145.
C. C. Sims, Computational methods in the study of permutation groups, pp. 169-183 of J. Leech, editor, Computational Problems in Abstract Algebra. Pergamon, Oxford, 1970.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| David Wasserman, Table of n, a(n) for n = 1..31
John J. Cannon, Derek F. Hol,The transitive permutation groups of degree 32
A. Hulpke, Transitive groups of small degree
F. H. Lutz, Triangulated manifolds with few vertices: Vertex-transitive triangulations
Index entries for sequences related to groups
Index entries for "core" sequences
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EXAMPLE
| a(3)=2: A_3 and S_3
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CROSSREFS
| Cf. A000001, A000019, A177244, A186277.
Sequence in context: A154698 A063786 A121304 * A184604 A064630 A089793
Adjacent sequences: A002103 A002104 A002105 * A002107 A002108 A002109
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KEYWORD
| nonn,core,hard,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Corrected and extended to degree 31 by Alexander Hulpke (Alexander.Hulpke(AT)Math.RWTH-Aachen.DE), Aug 15 1996. Further corrections from Alexander Hulpke, Feb 19, 2002.
Degree 32 extended by Artur Jasinski, Feb, 17, 2011.
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